On the Local and Global Deformation Mechanism of Granular Haterials

粒状材料的局部和整体变形机制

• 批准号: 10650481
• 负责人: TAMURA Takeshi
• 金额: $ 2.18万
• 依托单位: KYOTO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650481/
• 关键词: Granular Material; sliding; Rolling; Deformation; Plasticity; Local; Rigid Body; 大局; 剛体粒子; 物性

A rigid-plastic analysis of an assembly of regularly arranged circular elements with an equal diameter is performed to consider the relationship between the micro-and macro-mechanisms of cohesive granular materials. No elastic constant for elements is employed while rolling and plastic sliding at the contact points are considered. The equations of equilibrium of elements at the critical state are solved by using the linear programming method to minimize the upper bound of the applied force. Some of deformation modes are compared with the results of an experiment where a set of coins are used. The main results are :1)The rigid-plastic analysis of regularly arranged circular elements is done employing the frictional angle as well as the cohesion.2.Some results of velocity field by the numerical analysis are confirmed to be similar to those of simple experiments in both displacement and rotation of elements.3.The material constants necessary for the analysis can be obtained by a simple experiments.4.The comparison was done for the bearing capacity problem and some interesting interpretation was obtained.The real microscopic structures of such geotechnical materials as sands are more complicated than those in the present paper. Detail investigation is required to consider the effects of the static and rolling frictions, the random configuration at the initial state, the mixing of elements with different diameters and s, besides to establish the stable and fast numerical calculation scheme combined with the linear programming method.

对定期排列的圆形元件的组装进行了刚性塑料分析，以相等的直径进行考虑，以考虑粘性粒状材料的微型机制之间的关系。在滚动和在接触点处的塑料滑动时，不使用弹性常数。通过使用线性编程方法最小化施加力的上限，求解了临界状态下元素平衡的方程。将某些变形模式与使用一组硬币的实验结果进行了比较。主要结果是：1）使用摩擦角度和凝聚力进行定期布置的圆元元素的刚性塑性分析。2。速度场通过数值分析的一些结果确认与简单的旋转能力相似。获得的岩土材料的实际显微镜结构比本文中的岩石更为复杂。需要进行详细研究以考虑静态和滚动摩擦的影响，初始状态下的随机构型，除了建立稳定且快速的数值计算方案与线性编程方法相结合的元素与不同的直径和S的混合。

项目成果

Tamura, Takeshi: "Mechanics of assembly of rigid particles"Proc. Localization and Bifurcation Theory. Vol.1. 181-188 (1999)

田村武：“刚性粒子组装力学”Proc。

Tamura, Takeshi: "Upper bound method of rigid particles and its application"Journal of Applied Mechanics, JSCE. Vol.1. 407-416 (1998)

Tamura, Takeshi：“刚性粒子的上限方法及其应用”应用力学杂志，JSCE。

田村 武: "地下空間利用の技術と力学" 松尾 稔・林 良嗣 編著「都市の地下空間」7章. 141-157 (1998)

田村武：“地下空间利用的技术与动态”Minoru Matsuo 和 Yoshitsugu Hayashi（编）“城市地下空间”第 7 章。141-157（1998）

Tamura, Takeshi: "Mechanics of Assembly of Rigid Particles"Proc.Localization and Bifurcation Theory. 1. 181-188 (1999)

Tamura, Takeshi：“刚性粒子组装力学”Proc.局域化和分岔理论。

田村 武: "剛体セグネントを用いたシールドトンネルの3次元解析"土木学会論文集. (印刷中). (2000)

Takeshi Tamura：“使用刚体管片进行盾构隧道的三维分析”，日本土木工程师学会论文集（2000 年出版）。